Ordering ambiguity versus representation
arXiv:0705.3247 · doi:10.1088/0305-4470/39/1/014
Abstract
In this work we show that the ordering ambiguity on quantization depends on the representation choice. This property is then used to solve unambiguously some particular systems. Finally, we speculate on the consequences for more involved cases.
8 pages, no figures
References in corpus (12)
- Solutions of the nonrelativistic wave equation with position-dependent effective mass
- Deformed algebras, position-dependent effective masses and curved spaces: An exactly solvable Coulomb problem
- Exact solvability of potentials with spatially dependent effective masses
- A general scheme for the effective-mass Schrodinger equation and the generation of the associated potentials
- Supersymmetric approach to exactly solvable systems with position-dependent effective masses
- Kepler problem in Dirac theory for a particle with position-dependent mass
- Remarks on supersymmetry of quantum systems with position-dependent effective masses
- Exact solution of position dependent mass Schroedinger equation by supersymmetric quantum mechanics
- On Correspondences Between Toric Singularities and (p,q)-webs
- Resolving brane collapse with 1/N corrections in non-Abelian DBI
- Wigner function and Schroedinger equation in phase space representation
- Exact solutions of Dirac equation on a 2D gravitational background
Cited by in corpus (16)
- Ordering ambiguity revisited via position dependent mass pseudo-momentum operators
- d-Dimensional generalization of the point canonical transformation for a quantum particle with position-dependent mass
- A singular position-dependent mass particle in an infinite potential well
- Radial power-law position-dependent mass; Cylindrical coordinates, separability, and spectral signatures
- Remarks on the Solution of the Position Dependent Mass (PDM) Schrödinger Equation
- Landau Quantization for an electric quadrupole moment of Position-Dependent Mass Quantum Particles interacting with Electromagnetic fields
- On the position dependent effective mass Hamiltonian
- PDM-charged particles in PD-magnetic plus Aharonov-Bohm flux fields: unconfined "almost-quasi-free" and confined in a Yukawa plus Kratzer exact solvability
- Position-dependent mass charged particles in magnetic and Aharonov-Bohm flux fields: separability, exact and conditionally exact solvability
- Classical and quantum quasi-free position dependent mass; Pöschl-Teller and ordering-ambiguity
- Ladder operators for the Ben Daniel-Duke Hamiltonians and their SUSY partners
- Position-dependent-mass; Cylindrical coordinates, separability, exact solvability, and PT-symmetry
- A quasi-free position-dependent-mass jump and self-scattering correspondence
- Dynamics of free time-dependent effective mass
- A complete set of eigenstates for position-dependent massive particles in a Morse-like scenario
- Flatland Position-Dependent-Mass: Polar Coordinates, Separability and Exact Solvability